IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v12y2016i02ns1793005716500095.html
   My bibliography  Save this article

Diffusion in Networks: The Strategic Spread of Islamism

Author

Listed:
  • Maureen Boyce

    (Department of Political Science, Creighton University Omaha, Nebraska 68178, United States)

  • Mark Byrne

    (Department of Computer Science, Creighton University Omaha, Nebraska 68178, United States)

  • Erin Dorpinghaus

    (Department of Mathematics, Creighton University Omaha, Nebraska 68178, United States)

  • D. S. Malik

    (Department of Mathematics, Creighton University Omaha, Nebraska 68178, United States)

  • John N. Mordeson

    (Department of Mathematics, Creighton University Omaha, Nebraska 68178, United States)

Abstract

In this paper, we develop a fuzzy mathematics approach to study the influence of actors in networks on diffusion. We construct a dynamic diffusion model that represents the interactions and evolution of the current international network and determines the rate of Islamism by the internal and external pressures exerted on each state. We then identify key states in the international system by their degree to test if, and to what extent, they influence the rate and breadth of diffusion. Using this model we determine to what extent the most central actors in a network influence the overall rate of diffusion. We hypothesize that diffusion by the most central actors in the international system will greatly increase the overall rate of diffusion for the remaining actors. Given the current structure of the international system, we hypothesize that the prevalence of Islamism will decrease over time.

Suggested Citation

  • Maureen Boyce & Mark Byrne & Erin Dorpinghaus & D. S. Malik & John N. Mordeson, 2016. "Diffusion in Networks: The Strategic Spread of Islamism," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 113-133, July.
    • Handle: RePEc:wsi:nmncxx:v:12:y:2016:i:02:n:s1793005716500095
    DOI: 10.1142/S1793005716500095
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005716500095
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005716500095?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Acharya, Amitav, 2004. "How Ideas Spread: Whose Norms Matter? Norm Localization and Institutional Change in Asian Regionalism," International Organization, Cambridge University Press, vol. 58(2), pages 239-275, April.
    2. Most, Benjamin A. & Starr, Harvey, 1980. "Diffusion, Reinforcement, Geopolitics, and the Spread of War," American Political Science Review, Cambridge University Press, vol. 74(4), pages 932-946, December.
    3. Emilie M. Hafner-Burton & Kiyoteru Tsutsui, 2007. "Justice Lost! The Failure of International Human Rights Law To Matter Where Needed Most," Journal of Peace Research, Peace Research Institute Oslo, vol. 44(4), pages 407-425, July.
    4. Elkins, Zachary & Guzman, Andrew T. & Simmons, Beth A., 2006. "Competing for Capital: The Diffusion of Bilateral Investment Treaties, 1960–2000," International Organization, Cambridge University Press, vol. 60(4), pages 811-846, October.
    5. David Strang, 1991. "Adding Social Structure to Diffusion Models," Sociological Methods & Research, , vol. 19(3), pages 324-353, February.
    6. Hafner-Burton, Emilie M., 2008. "Sticks and Stones: Naming and Shaming the Human Rights Enforcement Problem," International Organization, Cambridge University Press, vol. 62(4), pages 689-716, October.
    7. Stephen P. Borgatti, 2006. "Identifying sets of key players in a social network," Computational and Mathematical Organization Theory, Springer, vol. 12(1), pages 21-34, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Eric Neumayer, 2013. "Do governments mean business when they derogate? Human rights violations during notified states of emergency," The Review of International Organizations, Springer, vol. 8(1), pages 1-31, March.
    2. Takaaki Masaki & Bradley C. Parks, 2020. "When do performance assessments influence policy behavior? Micro-evidence from the 2014 Reform Efforts Survey," The Review of International Organizations, Springer, vol. 15(2), pages 371-408, April.
    3. Kristian Skrede Gleditsch & Simon Hug & Livia Isabella Schubiger & Julian Wucherpfennig, 2011. "International Conventions and Non-State Actors: Selection, Signaling, and Reputation Effects," HiCN Working Papers 108, Households in Conflict Network.
    4. Daniela Donno & Michael Neureiter, 2018. "Can human rights conditionality reduce repression? Examining the European Union’s economic agreements," The Review of International Organizations, Springer, vol. 13(3), pages 335-357, September.
    5. Susan Ariel Aaronson & M. Rodwan Abouharb, 2010. "Unexpected Bedfellows: The GATT, the WTO, and Some Democratic Rights," Working Papers 2010-12, The George Washington University, Institute for International Economic Policy.
    6. Philip Schleifer & Matteo Fiorini & Graeme Auld, 2017. "Transparency in Transnational Sustainability Governance: A Multivariate Analysis of Regulatory Standard-Setting Programs," RSCAS Working Papers 2017/16, European University Institute.
    7. Ruggeri Andrea & Burgoon Brian, 2012. "Human Rights “Naming & Shaming” and Civil War Violence," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 18(3), pages 1-13, December.
    8. Crystal Whetstone & Luna K. C., 2023. "Disrupting the Saviour Politics in the Women, Peace and Security Agenda in the Global South: Grassroots Women Creating Gender Norms in Nepal and Sri Lanka," Journal of Asian Security and International Affairs, , vol. 10(1), pages 95-121, April.
    9. May-Britt Stumbaum, 2015. "The diffusion of norms in security-related fields: views from China, India and the EU," Asia Europe Journal, Springer, vol. 13(3), pages 331-347, September.
    10. Sikina Jinnah & Abby Lindsay, 2016. "Diffusion Through Issue Linkage: Environmental Norms in US Trade Agreements," Global Environmental Politics, MIT Press, vol. 16(3), pages 41-61, August.
    11. Amendolagine, Vito & Prota, Francesco, 2021. "Bilateral investment treaties and backward linkages in Sub-Saharan Africa," International Economics, Elsevier, vol. 165(C), pages 172-185.
    12. Sam R. Bell & K. Chad Clay & Amanda Murdie, 2019. "Join the Chorus, Avoid the Spotlight: The Effect of Neighborhood and Social Dynamics on Human Rights Organization Shaming," Journal of Conflict Resolution, Peace Science Society (International), vol. 63(1), pages 167-193, January.
    13. Köllner, Patrick, 2012. ""Informelle Politik" und "informelle Institutionen": Konzeptionelle Grundlagen, analytische Zugänge und Herausforderungen für das Studium autoritärer und anderer politischer Herrsc," GIGA Working Papers 192, GIGA German Institute of Global and Area Studies.
    14. Tanja A. Börzel & Thomas Risse, 2009. "Diffusing (Inter-) Regionalism - The EU as a Model of Regional Integration," KFG Working Papers p0007, Free University Berlin.
    15. Mark J. O. Bagley, 2019. "Networks, geography and the survival of the firm," Journal of Evolutionary Economics, Springer, vol. 29(4), pages 1173-1209, September.
    16. Holbig, Heike, 2015. "The Plasticity of Regions: A Social Sciences–Cultural Studies Dialogue on Asia-Related Area Studies," GIGA Working Papers 267, GIGA German Institute of Global and Area Studies.
    17. Erin M. Kearns, 2014. "The Study of Torture: Why It Persists, Why Perceptions of It are Malleable, and Why It is Difficult to Eradicate," Laws, MDPI, vol. 4(1), pages 1-15, December.
    18. Silve, Arthur & Verdier, Thierry, 2018. "A theory of regional conflict complexes," Journal of Development Economics, Elsevier, vol. 133(C), pages 434-447.
    19. Hosseinali Salemi & Austin Buchanan, 2022. "Solving the Distance-Based Critical Node Problem," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1309-1326, May.
    20. Capponi, Agostino & Corell, Felix & Stiglitz, Joseph E., 2022. "Optimal bailouts and the doom loop with a financial network," Journal of Monetary Economics, Elsevier, vol. 128(C), pages 35-50.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:12:y:2016:i:02:n:s1793005716500095. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.